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137975394381 = 31137113001961
BaseRepresentation
bin1000000001111111111…
…0010111000001001101
3111012010202001020221220
42000133332113001031
54230033200110011
6143215055313553
712653105334006
oct2003776270115
9435122036856
10137975394381
1153573570a60
12228a781b8b9
131001b2b10c6
14696c7aa1ad
1538c80ed506
hex201ff9704d

137975394381 has 16 divisors (see below), whose sum is σ = 206115578688. Its totient is φ = 81361411200.

The previous prime is 137975394353. The next prime is 137975394391. The reversal of 137975394381 is 183493579731.

137975394381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137975394381 - 26 = 137975394317 is a prime.

It is a super-3 number, since 3×1379753943813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137975394311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56499760 + ... + 56502201.

It is an arithmetic number, because the mean of its divisors is an integer number (12882223668).

Almost surely, 2137975394381 is an apocalyptic number.

137975394381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137975394381 is a deficient number, since it is larger than the sum of its proper divisors (68140184307).

137975394381 is a wasteful number, since it uses less digits than its factorization.

137975394381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113002012.

The product of its digits is 17146080, while the sum is 60.

The spelling of 137975394381 in words is "one hundred thirty-seven billion, nine hundred seventy-five million, three hundred ninety-four thousand, three hundred eighty-one".

Divisors: 1 3 11 33 37 111 407 1221 113001961 339005883 1243021571 3729064713 4181072557 12543217671 45991798127 137975394381